The scaling limit of senile reinforced random walk.
Holmes, Mark P. (2009)
Electronic Communications in Probability [electronic only]
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Holmes, Mark P. (2009)
Electronic Communications in Probability [electronic only]
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Sznitman, Alain-Sol (2009)
Electronic Journal of Probability [electronic only]
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Beffara, Vincent, Friedli, Sacha, Velenik, Yvan (2010)
Electronic Communications in Probability [electronic only]
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Benjamini, Itai, Izkovsky, Roey, Kesten, Harry (2007)
Electronic Journal of Probability [electronic only]
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Philippe Carmona (2010)
ESAIM: Probability and Statistics
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The sequence of random probability measures that gives a path of length , times the sum of the random weights collected along the paths, is shown to satisfy a large deviations principle with good rate function the Legendre transform of the free energy of the associated directed polymer in a random environment. Consequences on the asymptotics of the typical number of paths whose collected weight is above a fixed proportion are then drawn.
Bertacchi, Daniela (2006)
Electronic Journal of Probability [electronic only]
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Dolgopyat, Dmitry, Liverani, Carlangelo (2009)
Electronic Communications in Probability [electronic only]
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Bérard, Jean, Ramirez, Alejandro (2007)
Electronic Communications in Probability [electronic only]
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Eichelsbacher, Peter, König, Wolfgang (2008)
Electronic Journal of Probability [electronic only]
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Kang, Mihyun (2003)
International Journal of Mathematics and Mathematical Sciences
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Newman, Charles M., Ravishankar, Krishnamurthi, Sun, Rongfeng (2005)
Electronic Journal of Probability [electronic only]
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Takács, Lajos (1991)
Journal of Applied Mathematics and Stochastic Analysis
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Biskup, Marek, Prescott, Timothy M. (2007)
Electronic Journal of Probability [electronic only]
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